Question

How do you write the equation for the circle with center (6,-5) and radius r=4?

Answer 1

`(x-6)^2+(y+5)^2=16`

Explanation:

The standard form of the equation of a circle is.

`color(red)(|bar(ul(color(white)(a/a)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(a/a)|)))`
where (a ,b) are the coordinates of the centre and r , the radius.

here a = 6 , b = -5 and r = 4

`rArr(x-6)^2+(y+5)^2=16" is the equation of circle"`